Title : ( Differential Geometry on SU(N): Left and Right Invariant Vector Fields and One-Forms )
Authors: Seyed Javad Akhtarshenas ,
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Abstract
In this paper we provide an analytical procedure for explicit calculation of the left and right invariant vector fields and oneforms on SU(N) manifold. The calculations are based on the coset parametrization of SU(N) group. The results enable us to calculate the invariant measure or Haar measure on the group. As an illustrative example, we calculate invariant vector fields and one-forms on SU(2) group.
Keywords
, Differential geometry on SU(N), invariant vector fields, invariant one-forms, invariant measure, coset parametrization
@article{paperid:1046552,
author = {Akhtarshenas, Seyed Javad},
title = {Differential Geometry on SU(N): Left and Right Invariant Vector Fields and One-Forms},
journal = {Applied Mathematics and Information Sciences},
year = {2014},
volume = {8},
number = {6},
month = {November},
issn = {1935-0090},
pages = {2903--2908},
numpages = {5},
keywords = {Differential geometry on SU(N); invariant vector fields; invariant one-forms; invariant measure; coset parametrization},
}
%0 Journal Article
%T Differential Geometry on SU(N): Left and Right Invariant Vector Fields and One-Forms
%A Akhtarshenas, Seyed Javad
%J Applied Mathematics and Information Sciences
%@ 1935-0090
%D 2014
